Quantum entanglement on boundaries

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Publication:303498

DOI10.1007/JHEP07(2013)119zbMATH Open1342.81527arXiv1305.2334MaRDI QIDQ303498

Author name not available (Why is that?)

Publication date: 12 August 2016

Published in: (Search for Journal in Brave)

Abstract: Quantum entanglement in 3 spatial dimensions is studied in systems with physical boundaries when an entangling surface intersects the boundary. We show that there are universal logarithmic boundary terms in the entanglement R'{e}nyi entropy and derive them for different conformal field theories and geometrical configurations. The paper covers such topics as spectral geometry on manifolds with conical singularities crossing the boundaries, the dependence of the entanglement entropy on mutual position of the boundary and the entangling surface, effects of acceleration and rotation of the boundary, relations of coefficients in the trace anomaly to coefficients in the boundary logarithmic terms in the entropy. The computations are done for scalar, spinor and gauge fields.


Full work available at URL: https://arxiv.org/abs/1305.2334



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